Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term
Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term
10th Edition
ISBN: 9781337604857
Author: Ron Larson
Publisher: Cengage Learning
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Chapter 6.1, Problem 71E

Think About It Consider the system of equations

a x + b y = c d x + e y = f

(a) Find values for a , b , c , d , e and f so that the system has one distinct solution. (There is more than one correct answer.)

(b) Explain how to solve the system in part (a) by the method of substitution and graphically.

(c) Write a brief paragraph describing any advantages of the method of substitution over the graphical method of solving a system of equations.

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Chapter 6 Solutions

Bundle: College Algebra, Loose-leaf Version, 10th + WebAssign Printed Access Card for Larson's College Algebra, 10th Edition, Single-Term

Ch. 6.1 - Solve the system of equations. xy=05x3y=6Ch. 6.1 - A total of $25,000 is invested in two funds paying...Ch. 6.1 - Solve the system of equations. 2x+y=5x2y+3x=1Ch. 6.1 - Solve the system of equations. 2x+y=32x2+4xy2=0Ch. 6.1 - Prob. 5ECPCh. 6.1 - Prob. 6ECPCh. 6.1 - Prob. 7ECPCh. 6.1 - Prob. 1ECh. 6.1 - Prob. 2ECh. 6.1 - Fill in the blanks. Graphically, solutions of a...
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Two systems of equations that...Ch. 6.2 - Prob. 3ECh. 6.2 - Prob. 4ECh. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Prob. 8ECh. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises 5-12,...Ch. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Prob. 18ECh. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Prob. 20ECh. 6.2 - Prob. 21ECh. 6.2 - Solving a System by Elimination In Exercises...Ch. 6.2 - Prob. 23ECh. 6.2 - 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Prob. 15ECh. 6.3 - Prob. 16ECh. 6.3 - Prob. 17ECh. 6.3 - Prob. 18ECh. 6.3 - Prob. 19ECh. 6.3 - Prob. 20ECh. 6.3 - Prob. 21ECh. 6.3 - Prob. 22ECh. 6.3 - Prob. 23ECh. 6.3 - Prob. 24ECh. 6.3 - Prob. 25ECh. 6.3 - Prob. 26ECh. 6.3 - Prob. 27ECh. 6.3 - Prob. 28ECh. 6.3 - Prob. 29ECh. 6.3 - Prob. 30ECh. 6.3 - Prob. 31ECh. 6.3 - Prob. 32ECh. 6.3 - Prob. 33ECh. 6.3 - Prob. 34ECh. 6.3 - Prob. 35ECh. 6.3 - Prob. 36ECh. 6.3 - Prob. 37ECh. 6.3 - Prob. 38ECh. 6.3 - Prob. 39ECh. 6.3 - Prob. 40ECh. 6.3 - Prob. 41ECh. 6.3 - Prob. 42ECh. 6.3 - Prob. 43ECh. 6.3 - Prob. 44ECh. 6.3 - Prob. 45ECh. 6.3 - Prob. 46ECh. 6.3 - Prob. 47ECh. 6.3 - Prob. 48ECh. 6.3 - Prob. 49ECh. 6.3 - Prob. 50ECh. 6.3 - Prob. 51ECh. 6.3 - Prob. 52ECh. 6.3 - Prob. 53ECh. 6.3 - Prob. 54ECh. 6.3 - Prob. 55ECh. 6.3 - Prob. 56ECh. 6.3 - Prob. 57ECh. 6.3 - Agriculture A mixture of 5 pounds of fertilizer A,...Ch. 6.3 - Finance To expand its clothing line, a small...Ch. 6.3 - Advertising A health insurance company advertises...Ch. 6.3 - Geometry In Exercises 61 and 62, find the values...Ch. 6.3 - Prob. 62ECh. 6.3 - Geometry The perimeter of a triangle is 180 feet....Ch. 6.3 - Chemistry A chemist needs 10 liters of a 25 acid...Ch. 6.3 - Electrical Network Applying Kirchhoff’s Laws to...Ch. 6.3 - Pulley System A system of pulleys is loaded with...Ch. 6.3 - Prob. 67ECh. 6.3 - Prob. 68ECh. 6.3 - Prob. 69ECh. 6.3 - Prob. 70ECh. 6.3 - Prob. 71ECh. 6.3 - Prob. 72ECh. 6.3 - Prob. 73ECh. 6.3 - Prob. 74ECh. 6.3 - Prob. 75ECh. 6.3 - The number of sides x and the combined number of...Ch. 6.3 - Prob. 77ECh. 6.3 - Prob. 78ECh. 6.3 - Prob. 79ECh. 6.3 - Prob. 80ECh. 6.4 - Write the partial fraction decomposition of...Ch. 6.4 - Prob. 2ECPCh. 6.4 - Prob. 3ECPCh. 6.4 - Write the partial fraction decomposition of...Ch. 6.4 - Prob. 5ECPCh. 6.4 - Prob. 1ECh. 6.4 - Prob. 2ECh. 6.4 - Prob. 3ECh. 6.4 - Prob. 4ECh. 6.4 - Prob. 5ECh. 6.4 - Prob. 6ECh. 6.4 - Matching In Exercises 5-8, match the rational...Ch. 6.4 - Prob. 8ECh. 6.4 - Writing the Form of the Decomposition In Exercises...Ch. 6.4 - Prob. 10ECh. 6.4 - Writing the Form of the Decomposition In Exercises...Ch. 6.4 - Writing the Form of the Decomposition In Exercises...Ch. 6.4 - Writing the Form of the Decomposition In Exercises...Ch. 6.4 - Prob. 14ECh. 6.4 - Writing the Form of the Decomposition In Exercises...Ch. 6.4 - Prob. 16ECh. 6.4 - Writing the Partial Fraction Decomposition In...Ch. 6.4 - Prob. 18ECh. 6.4 - Writing the Partial Fraction Decomposition In...Ch. 6.4 - Prob. 20ECh. 6.4 - Writing the Partial Fraction Decomposition In...Ch. 6.4 - Prob. 22ECh. 6.4 - Prob. 23ECh. 6.4 - Prob. 24ECh. 6.4 - Prob. 25ECh. 6.4 - Prob. 26ECh. 6.4 - Prob. 27ECh. 6.4 - Prob. 28ECh. 6.4 - Prob. 29ECh. 6.4 - Prob. 30ECh. 6.4 - Prob. 31ECh. 6.4 - Prob. 32ECh. 6.4 - Prob. 33ECh. 6.4 - Prob. 34ECh. 6.4 - Prob. 35ECh. 6.4 - Prob. 36ECh. 6.4 - Prob. 37ECh. 6.4 - Prob. 38ECh. 6.4 - Prob. 39ECh. 6.4 - Prob. 40ECh. 6.4 - Prob. 41ECh. 6.4 - Prob. 42ECh. 6.4 - Prob. 43ECh. 6.4 - Prob. 44ECh. 6.4 - Prob. 45ECh. 6.4 - Prob. 46ECh. 6.4 - Prob. 47ECh. 6.4 - Prob. 48ECh. 6.4 - Prob. 49ECh. 6.4 - Prob. 50ECh. 6.4 - Prob. 51ECh. 6.4 - Prob. 52ECh. 6.4 - Prob. 53ECh. 6.4 - Prob. 54ECh. 6.4 - Prob. 55ECh. 6.4 - Prob. 56ECh. 6.4 - Prob. 57ECh. 6.4 - Prob. 58ECh. 6.4 - Environmental Science The predicted cost C (in...Ch. 6.4 - Thermodynamics The magnitude of the range R of...Ch. 6.4 - Prob. 61ECh. 6.4 - Prob. 62ECh. 6.4 - Prob. 63ECh. 6.4 - HOW DO YOU SEE IT? Identify the graph of the...Ch. 6.4 - Error Analysis Describe the error in writing the...Ch. 6.4 - Prob. 66ECh. 6.5 - Sketch the graph of x+22+y2216.Ch. 6.5 - Sketch the graph of x3.Ch. 6.5 - Prob. 3ECPCh. 6.5 - Sketch the graph of the solution set of the system...Ch. 6.5 - Prob. 5ECPCh. 6.5 - Sketch the solution set of the system of...Ch. 6.5 - Sketch the solution set of the system of...Ch. 6.5 - The demand and supply equations for a flat-screen...Ch. 6.5 - Prob. 9ECPCh. 6.5 - Prob. 1ECh. 6.5 - Prob. 2ECh. 6.5 - Prob. 3ECh. 6.5 - Prob. 4ECh. 6.5 - Prob. 5ECh. 6.5 - Graphing an Inequality In Exercises 5-18, sketch...Ch. 6.5 - Prob. 7ECh. 6.5 - Prob. 8ECh. 6.5 - Prob. 9ECh. 6.5 - Prob. 10ECh. 6.5 - Prob. 11ECh. 6.5 - Graphing an Inequality In Exercises 5-18, sketch...Ch. 6.5 - Prob. 13ECh. 6.5 - Prob. 14ECh. 6.5 - Prob. 15ECh. 6.5 - Graphing an Inequality In Exercises 5-18, sketch...Ch. 6.5 - Prob. 17ECh. 6.5 - Prob. 18ECh. 6.5 - Prob. 19ECh. 6.5 - Prob. 20ECh. 6.5 - Prob. 21ECh. 6.5 - Prob. 22ECh. 6.5 - Prob. 23ECh. 6.5 - Graphing an Inequality In Exercises 19-26, use a...Ch. 6.5 - Prob. 25ECh. 6.5 - Prob. 26ECh. 6.5 - Prob. 27ECh. 6.5 - Writing an Inequality In Exercises 27-30, write an...Ch. 6.5 - Writing an Inequality In Exercises 27-30, write an...Ch. 6.5 - Writing an Inequality In Exercises 27-30, write an...Ch. 6.5 - Prob. 31ECh. 6.5 - Prob. 32ECh. 6.5 - Prob. 33ECh. 6.5 - Prob. 34ECh. 6.5 - Prob. 35ECh. 6.5 - Prob. 36ECh. 6.5 - Prob. 37ECh. 6.5 - Prob. 38ECh. 6.5 - Prob. 39ECh. 6.5 - Prob. 40ECh. 6.5 - Prob. 41ECh. 6.5 - Prob. 42ECh. 6.5 - Prob. 43ECh. 6.5 - Prob. 44ECh. 6.5 - Prob. 45ECh. 6.5 - Prob. 46ECh. 6.5 - Prob. 47ECh. 6.5 - Prob. 48ECh. 6.5 - Prob. 49ECh. 6.5 - Prob. 50ECh. 6.5 - Prob. 51ECh. 6.5 - Prob. 52ECh. 6.5 - Writing a System of Inequalities In Exercises...Ch. 6.5 - Writing a System of Inequalities In Exercises...Ch. 6.5 - Prob. 55ECh. 6.5 - Writing a System of Inequalities In Exercises...Ch. 6.5 - Prob. 57ECh. 6.5 - Prob. 58ECh. 6.5 - Consumer Surplus and Producer Surplus In Exercises...Ch. 6.5 - Prob. 60ECh. 6.5 - Prob. 61ECh. 6.5 - Prob. 62ECh. 6.5 - Prob. 63ECh. 6.5 - Ticket Sales For a concert event, there are $30...Ch. 6.5 - Production A furniture company produces tables and...Ch. 6.5 - Prob. 66ECh. 6.5 - Nutrition A dietician prescribes a special dietary...Ch. 6.5 - Prob. 68ECh. 6.5 - Shipping A warehouse supervisor has instructions...Ch. 6.5 - Physical Fitness Facility A physical fitness...Ch. 6.5 - Prob. 71ECh. 6.5 - Prob. 72ECh. 6.5 - Prob. 73ECh. 6.5 - Prob. 74ECh. 6.5 - Matching Match the system of inequalities with the...Ch. 6.5 - Prob. 76ECh. 6.6 - Find the maximum value of z=4x+5y subject to the...Ch. 6.6 - Find the minimum value of z=12x+8y Where x0 and...Ch. 6.6 - Find the maximum value of z=12x+8y Where x0 and...Ch. 6.6 - Find the minimum value of z=3x+7y Where x0 and y0,...Ch. 6.6 - In Example 5, the candy manufacturer improves the...Ch. 6.6 - Prob. 6ECPCh. 6.6 - Prob. 1ECh. 6.6 - Prob. 2ECh. 6.6 - Prob. 3ECh. 6.6 - Prob. 4ECh. 6.6 - Prob. 5ECh. 6.6 - Prob. 6ECh. 6.6 - Prob. 7ECh. 6.6 - Prob. 8ECh. 6.6 - Prob. 9ECh. 6.6 - Prob. 10ECh. 6.6 - Prob. 11ECh. 6.6 - Prob. 12ECh. 6.6 - Prob. 13ECh. 6.6 - Solving a Linear Programming Problem In Exercises...Ch. 6.6 - Prob. 15ECh. 6.6 - Prob. 16ECh. 6.6 - Prob. 17ECh. 6.6 - Prob. 18ECh. 6.6 - Prob. 19ECh. 6.6 - Prob. 20ECh. 6.6 - Prob. 21ECh. 6.6 - Prob. 22ECh. 6.6 - Prob. 23ECh. 6.6 - Prob. 24ECh. 6.6 - Prob. 25ECh. 6.6 - Prob. 26ECh. 6.6 - Prob. 27ECh. 6.6 - Prob. 28ECh. 6.6 - Prob. 29ECh. 6.6 - Prob. 30ECh. 6.6 - Prob. 31ECh. 6.6 - Prob. 32ECh. 6.6 - Prob. 33ECh. 6.6 - Prob. 34ECh. 6.6 - Prob. 35ECh. 6.6 - Prob. 36ECh. 6.6 - Optimal Profit A merchant plans to sell two models...Ch. 6.6 - Optimal Profit A manufacturer produces two models...Ch. 6.6 - Optimal Cost A public aquarium is adding coral...Ch. 6.6 - Optimal Labor A manufacturer has two different...Ch. 6.6 - Optimal Revenue An accounting firm has 780 hours...Ch. 6.6 - Prob. 42ECh. 6.6 - Agriculture A fruit grower raises crops A and B....Ch. 6.6 - Prob. 44ECh. 6.6 - Prob. 45ECh. 6.6 - Prob. 46ECh. 6.6 - Prob. 47ECh. 6.6 - Prob. 48ECh. 6.6 - Prob. 49ECh. 6.6 - Prob. 50ECh. 6.6 - Prob. 51ECh. 6 - Solving a System by Substitution In Exercises...Ch. 6 - Solving a System by Substitution In Exercises...Ch. 6 - Prob. 3RECh. 6 - Prob. 4RECh. 6 - Prob. 5RECh. 6 - Prob. 6RECh. 6 - Prob. 7RECh. 6 - Prob. 8RECh. 6 - Prob. 9RECh. 6 - Prob. 10RECh. 6 - Prob. 11RECh. 6 - Solving a System of Equations Graphically In...Ch. 6 - Solving a System of Equations Graphically In...Ch. 6 - Prob. 14RECh. 6 - Prob. 15RECh. 6 - Prob. 16RECh. 6 - Prob. 17RECh. 6 - Prob. 18RECh. 6 - Prob. 19RECh. 6 - Prob. 20RECh. 6 - Geometry The perimeter of a rectangle is 68 feet...Ch. 6 - Prob. 22RECh. 6 - Prob. 23RECh. 6 - Prob. 24RECh. 6 - Prob. 25RECh. 6 - Prob. 26RECh. 6 - Solving a System by Elimination In Exercises...Ch. 6 - Solving a System by Elimination In Exercises...Ch. 6 - Matching a System with Its Graph In Exercises...Ch. 6 - Prob. 30RECh. 6 - Prob. 31RECh. 6 - Matching a System with Its Graph In Exercises...Ch. 6 - Finding the Equilibrium Point In Exercises 33 and...Ch. 6 - Prob. 34RECh. 6 - Prob. 35RECh. 6 - Prob. 36RECh. 6 - Prob. 37RECh. 6 - Prob. 38RECh. 6 - Prob. 39RECh. 6 - Prob. 40RECh. 6 - Prob. 41RECh. 6 - Prob. 42RECh. 6 - Prob. 43RECh. 6 - Prob. 44RECh. 6 - Prob. 45RECh. 6 - Prob. 46RECh. 6 - Prob. 47RECh. 6 - Prob. 48RECh. 6 - Agriculture A mixture of 6 gallons of chemical A,...Ch. 6 - Sports The Old Course at St Andrews Links in St...Ch. 6 - Investment An inheritance of $40,000 is divided...Ch. 6 - Investment An amount of $46,000 is divided among...Ch. 6 - Prob. 53RECh. 6 - Prob. 54RECh. 6 - Prob. 55RECh. 6 - Prob. 56RECh. 6 - Prob. 57RECh. 6 - Prob. 58RECh. 6 - Prob. 59RECh. 6 - Prob. 60RECh. 6 - Prob. 61RECh. 6 - Prob. 62RECh. 6 - Prob. 63RECh. 6 - Prob. 64RECh. 6 - Prob. 65RECh. 6 - Prob. 66RECh. 6 - Prob. 67RECh. 6 - Prob. 68RECh. 6 - Prob. 69RECh. 6 - Prob. 70RECh. 6 - Prob. 71RECh. 6 - Prob. 72RECh. 6 - Prob. 73RECh. 6 - Prob. 74RECh. 6 - Prob. 75RECh. 6 - Prob. 76RECh. 6 - Prob. 77RECh. 6 - Prob. 78RECh. 6 - Prob. 79RECh. 6 - Prob. 80RECh. 6 - Geometry Write a system of inequalities to...Ch. 6 - Prob. 82RECh. 6 - Consumer Surplus and Producer Surplus In Exercises...Ch. 6 - Consumer Surplus and Producer Surplus In Exercises...Ch. 6 - Inventory Costs A warehouse operator has 24,000...Ch. 6 - Prob. 86RECh. 6 - Prob. 87RECh. 6 - Prob. 88RECh. 6 - Prob. 89RECh. 6 - Prob. 90RECh. 6 - Prob. 91RECh. 6 - Optimal Profit A manufacturer produces two models...Ch. 6 - Prob. 93RECh. 6 - Prob. 94RECh. 6 - Prob. 95RECh. 6 - Prob. 96RECh. 6 - Prob. 97RECh. 6 - Prob. 98RECh. 6 - Prob. 99RECh. 6 - Prob. 100RECh. 6 - Prob. 101RECh. 6 - Prob. 102RECh. 6 - Prob. 103RECh. 6 - Prob. 104RECh. 6 - In Exercises 1-3, solve the system of equations by...Ch. 6 - In Exercises 1-3, solve the system of equations by...Ch. 6 - Prob. 4TCh. 6 - In Exercises 4-6, solve the system of equations...Ch. 6 - Prob. 6TCh. 6 - In Exercises 7 and 8, solve the system of...Ch. 6 - Prob. 8TCh. 6 - In Exercises 9 and 10, solve the system of linear...Ch. 6 - Prob. 10TCh. 6 - In Exercises 11-14, write the partial fraction...Ch. 6 - Prob. 12TCh. 6 - In Exercises 11-14, write the partial fraction...Ch. 6 - Prob. 14TCh. 6 - In Exercises 15-17, sketch the graph of the...Ch. 6 - Prob. 16TCh. 6 - In Exercises 15-17, sketch the graph of the...Ch. 6 - Prob. 18TCh. 6 - A total of $50,000 is invested in two funds that...Ch. 6 - Prob. 20TCh. 6 - A manufacturer produces two models of television...Ch. 6 - Prob. 1PSCh. 6 - Prob. 2PSCh. 6 - Prob. 3PSCh. 6 - Prob. 4PSCh. 6 - Prob. 5PSCh. 6 - Prob. 6PSCh. 6 - Prob. 7PSCh. 6 - Prob. 8PSCh. 6 - Prob. 9PSCh. 6 - Prob. 10PSCh. 6 - Prob. 11PSCh. 6 - Prob. 12PSCh. 6 - Prob. 13PSCh. 6 - Prob. 14PSCh. 6 - Biology Each day, an average adult moose can...Ch. 6 - Height and Weight For a healthy person who is 4...Ch. 6 - Cholesterol Cholesterol in human blood is...

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UG/ linear equation in linear algebra; Author: The Gate Academy;https://www.youtube.com/watch?v=aN5ezoOXX5A;License: Standard YouTube License, CC-BY
System of Linear Equations-I; Author: IIT Roorkee July 2018;https://www.youtube.com/watch?v=HOXWRNuH3BE;License: Standard YouTube License, CC-BY